It is entirely possible that if there were no oil or gas exports then oil or gas prices would be lower in the US. But if there were no Boeing exports then the price of jet planes might be lower, no GM exports then the price of cars might be lower, no tortillas made of Iowa corn then corn flakes might be cheaper.
JetBlue says that Bradley was simply overwhelmed by too many diversions, and that its grounded flights were lower priority than bigger international planes.